All-101 62 



interface lies above the free surface I Such a result is absurd, 

 of course, but the tendency of the thermocline to approach the 

 surface in the northern part of the ocean is clearly indicated. 

 This fact agrees with observation since the thermocline actually 

 reaches the surface in the north, 



Non-; St eady W ind 



In the treatment of the non-steady, two-layer problem, 

 we shall neglect the terms with coefficient \ in equations (1), 

 (2), (^), (5). For the steady problem, if Q and b are chosen 

 appropriately, it has been shown (equation (12, a) that the error 

 involved herein is small. 



Two methods of attack have been applied to the lineariz- 

 ed equations of (1) - (6). Our first procedure is that used 

 in Problem 1, viz, a perturbation in b followed by a boundary 

 layer analysis. 



The difficulty in the first method of solution arises 

 from the fact that the quantities with coefficient b are no 

 longer small, i.e., the magnitude of the terms is no longer 

 governed by 6. In particular, in the continuity equation (3), 

 the term on the right hand side has m_agnitude 6/b H-|_ (based on ■ 

 the steady solution). In the interior of the ocean where U-^ and 

 Vn are 0(1) and H-, = 0(©'' ), in order for the perturbation in b 

 to be valid, we must have 6 < < l/9b. V^ith the dimensional con- 

 stants of Problem 1, this means 6 < < 10 , Such a value corres- 

 ponds to a wind period of one hundred years or more. 



If the above results were the only objection to the 



